suppose that only 25% of all drivers come to a complete stopat an intersection h

Question

suppose that only 25% of all drivers come to a complete stopat an intersection having flashing red lights in all directionswhen no other car are visible. what is the probability that, of 20randomly chosen drivers coming to an intersection under theseconditions? a) at most 6 will come to a complete stop? b) exactly 6 will come to a complete stop? c) at least 6 will come to a complete stop? d) how many of the next 20 drivers do you expect to come to acomplete stop? suppose that only 25% of all drivers come to a complete stopat an intersection having flashing red lights in all directionswhen no other car are visible. what is the probability that, of 20randomly chosen drivers coming to an intersection under theseconditions? a) at most 6 will come to a complete stop? b) exactly 6 will come to a complete stop? c) at least 6 will come to a complete stop? d) how many of the next 20 drivers do you expect to come to acomplete stop?

Explanation / Answer

P(S)=0.25 n=20 binomial probability distribution a) P(0)+p(1)+p(2)= (0.25^0)*(0.75^20) + (0.25^1)*(0.75^19)*20C1 + (0.25^2)*(0.75^19) * 20C2)=0.07452 b)1-P(0)-P(1)=1- [(0.25^0)*(0.75^20) + (0.25^1)*(0.75^19)*20C1]=0.975687 c) E(X)=np=20*0.25=5 VOILA :)

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